Atkin-Lehner |
2- 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
11242g |
Isogeny class |
Conductor |
11242 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
2720564 = 22 · 7 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 11+ -2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
5461074081/2720564 |
j-invariant |
L |
6.7549936057532 |
L(r)(E,1)/r! |
Ω |
2.0424704495147 |
Real period |
R |
1.6536331302513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89936ba1 101178s1 78694r1 123662k1 |
Quadratic twists by: -4 -3 -7 -11 |